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A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane
Citation
Escribano Iglesias, M. del Carmen, Sastre Rosa, María de la Asunción, Giraldo Carbajo, Antonio and Torrano Gimenez, Emilio (2010). A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane. In: "10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010", 26/06/2010 - 30/06/2010, Almeria, España.
Description
| Title: | A Rakhmanov-like theorem for orthogonal polynomials on Jordan arcs in the complex plane |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 |
| Event Dates: | 26/06/2010 - 30/06/2010 |
| Event Location: | Almeria, España |
| Title of Book: | Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010 |
| Date: | 2010 |
| Subjects: | |
| Freetext Keywords: | Hessenberg matrix, regular measures, Riemann map |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Rakhmanov's theorem establishes a result about the asymptotic behavior of the elements of the Jacobi matrix associated with a measure ¹ which is de¯ned on the interval I = [¡1; 1] with ¹ 0 > 0 almost everywhere on I. In this work we give a weak version of this theorem, for a measure with support on a connected ¯nite union of Jordan arcs on the complex plane, in terms of the Hessenberg matrix, the natural generalization of the tridiagonal Jacobi matrix to the complex plane.
More information
| Item ID: | 9267 |
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| DC Identifier: | https://oa.upm.es/9267/ |
| OAI Identifier: | oai:oa.upm.es:9267 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 13 Oct 2011 10:58 |
| Last Modified: | 20 Apr 2016 17:45 |
